102213131132 has 72 divisors (see below), whose sum is σ = 213950056320. Its totient is φ = 42584330880.

The previous prime is 102213131093. The next prime is 102213131203. The reversal of 102213131132 is 231131312201.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1087157 + ... + 1177427.

It is an arithmetic number, because the mean of its divisors is an integer number (2971528560).

Almost surely, 2^102213131132 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 102213131132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106975028160).

102213131132 is an abundant number, since it is smaller than the sum of its proper divisors (111736925188).

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

102213131132 is a wasteful number, since it uses less digits than its factorization.

102213131132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90451 (or 90442 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 20.

Adding to 102213131132 its reverse (231131312201), we get a palindrome (333344443333).

The spelling of 102213131132 in words is "one hundred two billion, two hundred thirteen million, one hundred thirty-one thousand, one hundred thirty-two".