101312303031 has 24 divisors (see below), whose sum is σ = 148149630720. Its totient is φ = 66706830096.

The previous prime is 101312302937. The next prime is 101312303041. The reversal of 101312303031 is 130303213101.

It is a happy number.

101312303031 is a `hidden beast` number, since 1 + 0 + 131 + 230 + 303 + 1 = 666.

It is not a de Polignac number, because 101312303031 - 2²⁹ = 100775432119 is a prime.

It is a super-3 number, since 3×101312303031³ (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 101312302995 and 101312303013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101312303041) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2570290 + ... + 2609408.

It is an arithmetic number, because the mean of its divisors is an integer number (6172901280).

Almost surely, 2^101312303031 is an apocalyptic number.

101312303031 is a deficient number, since it is larger than the sum of its proper divisors (46837327689).

101312303031 is a wasteful number, since it uses less digits than its factorization.

101312303031 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42675 (or 42672 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 101312303031 its reverse (130303213101), we get a palindrome (231615516132).

The spelling of 101312303031 in words is "one hundred one billion, three hundred twelve million, three hundred three thousand, thirty-one".