102233232113013 has 24 divisors (see below), whose sum is σ = 147882426339648. Its totient is φ = 68057617485312.

The previous prime is 102233232113009. The next prime is 102233232113017. The reversal of 102233232113013 is 310311232332201.

102233232113013 is a `hidden beast` number, since 1 + 0 + 2 + 2 + 3 + 32 + 321 + 1 + 301 + 3 = 666.

It is an interprime number because it is at equal distance from previous prime (102233232113009) and next prime (102233232113017).

It is not a de Polignac number, because 102233232113013 - 2² = 102233232113009 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102233232113017) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14952120 + ... + 20688942.

It is an arithmetic number, because the mean of its divisors is an integer number (6161767764152).

Almost surely, 2^{102233232113013} is an apocalyptic number.

It is an amenable number.

102233232113013 is a deficient number, since it is larger than the sum of its proper divisors (45649194226635).

102233232113013 is a wasteful number, since it uses less digits than its factorization.

102233232113013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5739673 (or 5739670 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

Adding to 102233232113013 its reverse (310311232332201), we get a palindrome (412544464445214).

The spelling of 102233232113013 in words is "one hundred two trillion, two hundred thirty-three billion, two hundred thirty-two million, one hundred thirteen thousand, thirteen".