21013111131012 has 288 divisors, whose sum is σ = 71330358537984. Its totient is φ = 5037180825600.

The previous prime is 21013111131007. The next prime is 21013111131119.

21013111131012 is a `hidden beast` number, since 21 + 0 + 1 + 311 + 11 + 310 + 12 = 666.

21013111131012 is nontrivially palindromic in base 10.

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

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, 206687712 + ... + 206789352.

Almost surely, 2^{21013111131012} is an apocalyptic number.

21013111131012 is a gapful number since it is divisible by the number (22) 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 21013111131012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35665179268992).

21013111131012 is an abundant number, since it is smaller than the sum of its proper divisors (50317247406972).

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

21013111131012 is a wasteful number, since it uses less digits than its factorization.

21013111131012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107419 (or 107414 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 18.

It can be divided in two parts, 2101311 and 1131012, that added together give a palindrome (3232323).

The spelling of 21013111131012 in words is "twenty-one trillion, thirteen billion, one hundred eleven million, one hundred thirty-one thousand, twelve".