131001122113 has 8 divisors (see below), whose sum is σ = 133511918760. Its totient is φ = 128514124800.

The previous prime is 131001122051. The next prime is 131001122129. The reversal of 131001122113 is 311221100131.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 82227283009 + 48773839104 = 286753^2 + 220848^2 .

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

It is a cyclic number.

It is not a de Polignac number, because 131001122113 - 2²⁵ = 130967567681 is a prime.

It is a super-2 number, since 2×131001122113² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (131001122513) 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, 5938720 + ... + 5960737.

It is an arithmetic number, because the mean of its divisors is an integer number (16688989845).

Almost surely, 2^131001122113 is an apocalyptic number.

It is an amenable number.

131001122113 is a deficient number, since it is larger than the sum of its proper divisors (2510796647).

131001122113 is a wasteful number, since it uses less digits than its factorization.

131001122113 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11899667.

The product of its (nonzero) digits is 36, while the sum is 16.

Adding to 131001122113 its reverse (311221100131), we get a palindrome (442222222244).

The spelling of 131001122113 in words is "one hundred thirty-one billion, one million, one hundred twenty-two thousand, one hundred thirteen".