10213332132113 has 16 divisors (see below), whose sum is σ = 11729485824000. Its totient is φ = 8795228060880.

The previous prime is 10213332132043. The next prime is 10213332132131. The reversal of 10213332132113 is 31123123331201.

It is a cyclic number.

It is not a de Polignac number, because 10213332132113 - 2²⁸ = 10213063696657 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10213332132163) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 662513 + ... + 4567886.

It is an arithmetic number, because the mean of its divisors is an integer number (733092864000).

Almost surely, 2^{10213332132113} is an apocalyptic number.

It is an amenable number.

10213332132113 is a deficient number, since it is larger than the sum of its proper divisors (1516153691887).

10213332132113 is a wasteful number, since it uses less digits than its factorization.

10213332132113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5239772.

The product of its (nonzero) digits is 1944, while the sum is 26.

Adding to 10213332132113 its reverse (31123123331201), we get a palindrome (41336455463314).

The spelling of 10213332132113 in words is "ten trillion, two hundred thirteen billion, three hundred thirty-two million, one hundred thirty-two thousand, one hundred thirteen".