11331032102013 has 64 divisors (see below), whose sum is σ = 16901236154880. Its totient is φ = 6704517120000.

The previous prime is 11331032102009. The next prime is 11331032102053. The reversal of 11331032102013 is 31020123013311.

It is a happy number.

11331032102013 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 11331032102013 - 2² = 11331032102009 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11331032102053) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1190104693 + ... + 1190114213.

It is an arithmetic number, because the mean of its divisors is an integer number (264081814920).

Almost surely, 2^{11331032102013} is an apocalyptic number.

11331032102013 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

11331032102013 is a deficient number, since it is larger than the sum of its proper divisors (5570204052867).

11331032102013 is a wasteful number, since it uses less digits than its factorization.

11331032102013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13830.

The product of its (nonzero) digits is 324, while the sum is 21.

Adding to 11331032102013 its reverse (31020123013311), we get a palindrome (42351155115324).

The spelling of 11331032102013 in words is "eleven trillion, three hundred thirty-one billion, thirty-two million, one hundred two thousand, thirteen".