102213131132310 has 128 divisors (see below), whose sum is σ = 291012706589184. Its totient is φ = 22691049154560.

The previous prime is 102213131132251. The next prime is 102213131132311. The reversal of 102213131132310 is 13231131312201.

It is a super-2 number, since 2×102213131132310² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102213131132311) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 246006072 + ... + 246421211.

It is an arithmetic number, because the mean of its divisors is an integer number (2273536770228).

Almost surely, 2^{102213131132310} is an apocalyptic number.

102213131132310 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

102213131132310 is an abundant number, since it is smaller than the sum of its proper divisors (188799575456874).

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

102213131132310 is a wasteful number, since it uses less digits than its factorization.

102213131132310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 492427358.

The product of its (nonzero) digits is 648, while the sum is 24.

Adding to 102213131132310 its reverse (13231131312201), we get a palindrome (115444262444511).

The spelling of 102213131132310 in words is "one hundred two trillion, two hundred thirteen billion, one hundred thirty-one million, one hundred thirty-two thousand, three hundred ten".