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13131220133130 = 23511311283599231
BaseRepresentation
bin1011111100010101100110…
…1101100010010100001010
31201111022222022022221220020
42333011121231202110022
53210120214323230010
643532222123241310
72523461606336241
oct277053155422412
951438868287806
1013131220133130
114202a12486a10
121580b03079236
137433655832c8
143357a9581958
1517b88e6b1470
hexbf159b6250a

13131220133130 has 64 divisors (see below), whose sum is σ = 35488951566336. Its totient is φ = 3080638152000.

The previous prime is 13131220133117. The next prime is 13131220133131. The reversal of 13131220133130 is 3133102213131.

13131220133130 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 13131220133130.

It is not an unprimeable number, because it can be changed into a prime (13131220133131) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 641789386 + ... + 641809845.

It is an arithmetic number, because the mean of its divisors is an integer number (554514868224).

Almost surely, 213131220133130 is an apocalyptic number.

13131220133130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

13131220133130 is an abundant number, since it is smaller than the sum of its proper divisors (22357731433206).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13131220133130 is a wasteful number, since it uses less digits than its factorization.

13131220133130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1283599283.

The product of its (nonzero) digits is 972, while the sum is 24.

Adding to 13131220133130 its reverse (3133102213131), we get a palindrome (16264322346261).

The spelling of 13131220133130 in words is "thirteen trillion, one hundred thirty-one billion, two hundred twenty million, one hundred thirty-three thousand, one hundred thirty".

Divisors: 1 2 3 5 6 10 11 15 22 30 31 33 55 62 66 93 110 155 165 186 310 330 341 465 682 930 1023 1705 2046 3410 5115 10230 1283599231 2567198462 3850797693 6417996155 7701595386 12835992310 14119591541 19253988465 28239183082 38507976930 39791576161 42358774623 70597957705 79583152322 84717549246 119374728483 141195915410 198957880805 211793873115 238749456966 397915761610 423587746230 437707337771 596873642415 875414675542 1193747284830 1313122013313 2188536688855 2626244026626 4377073377710 6565610066565 13131220133130