102132212013013 has 16 divisors (see below), whose sum is σ = 128767066557696. Its totient is φ = 78836979519360.

The previous prime is 102132212013011. The next prime is 102132212013049. The reversal of 102132212013013 is 310310212231201.

It is a cyclic number.

It is not a de Polignac number, because 102132212013013 - 2¹ = 102132212013011 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102132212013011) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13686971881 + ... + 13686979342.

It is an arithmetic number, because the mean of its divisors is an integer number (8047941659856).

Almost surely, 2^{102132212013013} is an apocalyptic number.

102132212013013 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

102132212013013 is a deficient number, since it is larger than the sum of its proper divisors (26634854544683).

102132212013013 is a wasteful number, since it uses less digits than its factorization.

102132212013013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27373951284.

The product of its (nonzero) digits is 432, while the sum is 22.

Adding to 102132212013013 its reverse (310310212231201), we get a palindrome (412442424244214).

The spelling of 102132212013013 in words is "one hundred two trillion, one hundred thirty-two billion, two hundred twelve million, thirteen thousand, thirteen".