31213212011100 has 288 divisors, whose sum is σ = 115102844057600. Its totient is φ = 7108120915200.

The previous prime is 31213212011099. The next prime is 31213212011119. The reversal of 31213212011100 is 111021231213.

31213212011100 is a `hidden beast` number, since 31 + 2 + 1 + 321 + 201 + 110 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2074866 + ... + 8168934.

Almost surely, 2^{31213212011100} is an apocalyptic number.

31213212011100 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31213212011100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57551422028800).

31213212011100 is an abundant number, since it is smaller than the sum of its proper divisors (83889632046500).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

31213212011100 is a wasteful number, since it uses less digits than its factorization.

31213212011100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6094370 (or 6094357 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 31213212011100 its reverse (111021231213), we get a palindrome (31324233242313).

The spelling of 31213212011100 in words is "thirty-one trillion, two hundred thirteen billion, two hundred twelve million, eleven thousand, one hundred".