31212100112319 has 48 divisors (see below), whose sum is σ = 52105283530560. Its totient is φ = 17634539704320.

The previous prime is 31212100112299. The next prime is 31212100112329. The reversal of 31212100112319 is 91321100121213.

31212100112319 is a `hidden beast` number, since 3 + 1 + 21 + 210 + 0 + 112 + 319 = 666.

It is not a de Polignac number, because 31212100112319 - 2²⁵ = 31212066557887 is a prime.

It is a super-2 number, since 2×31212100112319² (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 31212100112292 and 31212100112301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31212100112329) 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, 240144519 + ... + 240274455.

It is an arithmetic number, because the mean of its divisors is an integer number (1085526740220).

Almost surely, 2^{31212100112319} is an apocalyptic number.

31212100112319 is a deficient number, since it is larger than the sum of its proper divisors (20893183418241).

31212100112319 is a wasteful number, since it uses less digits than its factorization.

31212100112319 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172880 (or 172877 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 27.

The spelling of 31212100112319 in words is "thirty-one trillion, two hundred twelve billion, one hundred million, one hundred twelve thousand, three hundred nineteen".