21310133101312 has 144 divisors (see below), whose sum is σ = 48426940783872. Its totient is φ = 9264251842560.

The previous prime is 21310133101297. The next prime is 21310133101379.

21310133101312 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×21310133101312² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1106033503 + ... + 1106052769.

It is an arithmetic number, because the mean of its divisors is an integer number (336298199888).

Almost surely, 2^{21310133101312} is an apocalyptic number.

21310133101312 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 21310133101312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24213470391936).

21310133101312 is an abundant number, since it is smaller than the sum of its proper divisors (27116807682560).

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

21310133101312 is a wasteful number, since it uses less digits than its factorization.

21310133101312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36394 (or 36380 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 22.

It can be divided in two parts, 2131013 and 3101312, that added together give a palindrome (5232325).

The spelling of 21310133101312 in words is "twenty-one trillion, three hundred ten billion, one hundred thirty-three million, one hundred one thousand, three hundred twelve".