101231132031 has 48 divisors (see below), whose sum is σ = 150300678528. Its totient is φ = 65625292800.

The previous prime is 101231132021. The next prime is 101231132071. The reversal of 101231132031 is 130231132101.

101231132031 is a `hidden beast` number, since 1 + 0 + 1 + 2 + 311 + 320 + 31 = 666.

It is not a de Polignac number, because 101231132031 - 2³⁵ = 66871393663 is a prime.

It is a super-2 number, since 2×101231132031² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 101231131995 and 101231132013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101231132021) 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, 58820251 + ... + 58821971.

It is an arithmetic number, because the mean of its divisors is an integer number (3131264136).

Almost surely, 2^101231132031 is an apocalyptic number.

101231132031 is a deficient number, since it is larger than the sum of its proper divisors (49069546497).

101231132031 is a wasteful number, since it uses less digits than its factorization.

101231132031 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2592 (or 2589 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 101231132031 its reverse (130231132101), we get a palindrome (231462264132).

The spelling of 101231132031 in words is "one hundred one billion, two hundred thirty-one million, one hundred thirty-two thousand, thirty-one".