102133013013311 has 32 divisors (see below), whose sum is σ = 117301972623360. Its totient is φ = 87109942034016.

The previous prime is 102133013013287. The next prime is 102133013013359. The reversal of 102133013013311 is 113310310331201.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-102133013013311 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102133013013371) 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, 2975279630 + ... + 2975313956.

It is an arithmetic number, because the mean of its divisors is an integer number (3665686644480).

Almost surely, 2^{102133013013311} is an apocalyptic number.

102133013013311 is a deficient number, since it is larger than the sum of its proper divisors (15168959610049).

102133013013311 is a wasteful number, since it uses less digits than its factorization.

102133013013311 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37323.

The product of its (nonzero) digits is 486, while the sum is 23.

Adding to 102133013013311 its reverse (113310310331201), we get a palindrome (215443323344512).

The spelling of 102133013013311 in words is "one hundred two trillion, one hundred thirty-three billion, thirteen million, thirteen thousand, three hundred eleven".