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131032311032321 = 612752017805461
BaseRepresentation
bin11101110010110001010110…
…010110100110101000000001
3122011221120022001100012222122
4131302301112112212220001
5114133313133111013241
61142403225050014025
736412525550540066
oct3562612626465001
9564846261305878
10131032311032321
1138829544632a16
1212842b33a17315
1358163a895165a
14244ddd7950c6d
1510236b778904b
hex772c565a6a01

131032311032321 has 8 divisors (see below), whose sum is σ = 133180882706088. Its totient is φ = 128883755520000.

The previous prime is 131032311032303. The next prime is 131032311032333. The reversal of 131032311032321 is 123230113230131.

It can be written as a sum of positive squares in 4 ways, for example, as 38990832901696 + 92041478130625 = 6244264^2 + 9593825^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-131032311032321 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (131032311032921) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12884531 + ... + 20689991.

It is an arithmetic number, because the mean of its divisors is an integer number (16647610338261).

Almost surely, 2131032311032321 is an apocalyptic number.

It is an amenable number.

131032311032321 is a deficient number, since it is larger than the sum of its proper divisors (2148571673767).

131032311032321 is an equidigital number, since it uses as much as digits as its factorization.

131032311032321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8080723.

The product of its (nonzero) digits is 1944, while the sum is 26.

Adding to 131032311032321 its reverse (123230113230131), we get a palindrome (254262424262452).

The spelling of 131032311032321 in words is "one hundred thirty-one trillion, thirty-two billion, three hundred eleven million, thirty-two thousand, three hundred twenty-one".

Divisors: 1 61 275201 7805461 16787261 476133121 2148070672661 131032311032321