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131133121301 = 731322978007
BaseRepresentation
bin111101000100000100…
…1001010001100010101
3110112110220002202211102
41322020021022030111
54122030034340201
6140124113515445
712321413066000
oct1721011121425
9415426082742
10131133121301
1150682256a16
12214b8272b85
13c49a881100
1464bdb8a537
15362758d26b
hex1e8824a315

131133121301 has 48 divisors (see below), whose sum is σ = 171305568000. Its totient is φ = 100174681152.

The previous prime is 131133121291. The next prime is 131133121303. The reversal of 131133121301 is 103121331131.

It is not a de Polignac number, because 131133121301 - 230 = 130059379477 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131133121303) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1642040 + ... + 1720046.

It is an arithmetic number, because the mean of its divisors is an integer number (3568866000).

Almost surely, 2131133121301 is an apocalyptic number.

It is an amenable number.

131133121301 is a deficient number, since it is larger than the sum of its proper divisors (40172446699).

131133121301 is an equidigital number, since it uses as much as digits as its factorization.

131133121301 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78083 (or 78056 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 20.

Adding to 131133121301 its reverse (103121331131), we get a palindrome (234254452432).

The spelling of 131133121301 in words is "one hundred thirty-one billion, one hundred thirty-three million, one hundred twenty-one thousand, three hundred one".

Divisors: 1 7 13 29 49 91 169 203 343 377 637 1183 1421 2639 4459 4901 8281 9947 18473 34307 57967 78007 129311 240149 546049 1014091 1681043 2262203 3822343 7098637 13183183 15835421 26756401 29408639 49690459 92282281 110847947 205860473 347833213 382312307 645975967 775935629 1441023311 2676186149 4521831769 10087163177 18733303043 131133121301