21132013032312 has 768 divisors, whose sum is σ = 72745363353600. Its totient is φ = 5047527260160.

The previous prime is 21132013032293. The next prime is 21132013032331. The reversal of 21132013032312 is 21323031023112.

It is an interprime number because it is at equal distance from previous prime (21132013032293) and next prime (21132013032331).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1442155578 + ... + 1442170230.

It is an arithmetic number, because the mean of its divisors is an integer number (94720525200).

Almost surely, 2^{21132013032312} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21132013032312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36372681676800).

21132013032312 is an abundant number, since it is smaller than the sum of its proper divisors (51613350321288).

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

21132013032312 is a wasteful number, since it uses less digits than its factorization.

21132013032312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14916 (or 14905 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

Adding to 21132013032312 its reverse (21323031023112), we get a palindrome (42455044055424).

The spelling of 21132013032312 in words is "twenty-one trillion, one hundred thirty-two billion, thirteen million, thirty-two thousand, three hundred twelve".