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13131302221131 = 317360764165027
BaseRepresentation
bin1011111100010101111010…
…0110101011010101001011
31201111100012000210110110120
42333011132212223111023
53210120401332034011
643532234214514323
72523463624146663
oct277053646532513
951440160713416
1013131302221131
114202a54853936
121580b266659a3
13743379594ba3
143357b642d1a3
1517b8969c8a06
hexbf15e9ab54b

13131302221131 has 32 divisors (see below), whose sum is σ = 17666407507968. Its totient is φ = 8675571240960.

The previous prime is 13131302221129. The next prime is 13131302221133. The reversal of 13131302221131 is 13112220313131.

It is an interprime number because it is at equal distance from previous prime (13131302221129) and next prime (13131302221133).

It is not a de Polignac number, because 13131302221131 - 21 = 13131302221129 is a prime.

It is a super-2 number, since 2×131313022211312 (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (13131302221133) 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, 201903640 + ... + 201968666.

It is an arithmetic number, because the mean of its divisors is an integer number (552075234624).

Almost surely, 213131302221131 is an apocalyptic number.

13131302221131 is a deficient number, since it is larger than the sum of its proper divisors (4535105286837).

13131302221131 is a wasteful number, since it uses less digits than its factorization.

13131302221131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66451.

The product of its (nonzero) digits is 648, while the sum is 24.

Adding to 13131302221131 its reverse (13112220313131), we get a palindrome (26243522534262).

The spelling of 13131302221131 in words is "thirteen trillion, one hundred thirty-one billion, three hundred two million, two hundred twenty-one thousand, one hundred thirty-one".

Divisors: 1 3 173 519 607 641 1821 1923 65027 105011 110893 195081 315033 332679 389087 1167261 11249671 33749013 39471389 41682307 67312051 118414167 125046921 201936153 6828550297 7211039111 20485650891 21633117333 25301160349 75903481047 4377100740377 13131302221131