102213214013031 has 32 divisors (see below), whose sum is σ = 150209768307456. Its totient is φ = 61307924160000.

The previous prime is 102213214013003. The next prime is 102213214013047. The reversal of 102213214013031 is 130310412312201.

It is not a de Polignac number, because 102213214013031 - 2⁵ = 102213214012999 is a prime.

It is a super-4 number, since 4×102213214013031⁴ (a number of 57 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 102213214012992 and 102213214013010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102213214013081) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1289311 + ... + 14355791.

It is an arithmetic number, because the mean of its divisors is an integer number (4694055259608).

Almost surely, 2^{102213214013031} is an apocalyptic number.

102213214013031 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

102213214013031 is a deficient number, since it is larger than the sum of its proper divisors (47996554294425).

102213214013031 is a wasteful number, since it uses less digits than its factorization.

102213214013031 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13068943.

The product of its (nonzero) digits is 864, while the sum is 24.

Adding to 102213214013031 its reverse (130310412312201), we get a palindrome (232523626325232).

The spelling of 102213214013031 in words is "one hundred two trillion, two hundred thirteen billion, two hundred fourteen million, thirteen thousand, thirty-one".