101331311131031 has 8 divisors (see below), whose sum is σ = 101380805022000. Its totient is φ = 101281818404160.

The previous prime is 101331311131013. The next prime is 101331311131091. The reversal of 101331311131031 is 130131113133101.

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 101331311131031 - 2¹⁴ = 101331311114647 is a prime.

It is a super-2 number, since 2×101331311131031² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 101331311130988 and 101331311131006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101331311131091) 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, 211215755 + ... + 211694963.

It is an arithmetic number, because the mean of its divisors is an integer number (12672600627750).

Almost surely, 2^{101331311131031} is an apocalyptic number.

101331311131031 is a deficient number, since it is larger than the sum of its proper divisors (49493890969).

101331311131031 is a wasteful number, since it uses less digits than its factorization.

101331311131031 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 582049.

The product of its (nonzero) digits is 243, while the sum is 23.

Adding to 101331311131031 its reverse (130131113133101), we get a palindrome (231462424264132).

The spelling of 101331311131031 in words is "one hundred one trillion, three hundred thirty-one billion, three hundred eleven million, one hundred thirty-one thousand, thirty-one".