10132102013 has 32 divisors (see below), whose sum is σ = 11914058880. Its totient is φ = 8519040000.

The previous prime is 10132102003. The next prime is 10132102021. The reversal of 10132102013 is 31020123101.

It is a cyclic number.

It is not a de Polignac number, because 10132102013 - 2¹⁰ = 10132100989 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10132102003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1743713 + ... + 1749513.

It is an arithmetic number, because the mean of its divisors is an integer number (372314340).

Almost surely, 2^10132102013 is an apocalyptic number.

It is an amenable number.

10132102013 is a deficient number, since it is larger than the sum of its proper divisors (1781956867).

10132102013 is a wasteful number, since it uses less digits than its factorization.

10132102013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6029.

The product of its (nonzero) digits is 36, while the sum is 14.

Adding to 10132102013 its reverse (31020123101), we get a palindrome (41152225114).

The spelling of 10132102013 in words is "ten billion, one hundred thirty-two million, one hundred two thousand, thirteen".