10132113303331 has 16 divisors (see below), whose sum is σ = 10360493184384. Its totient is φ = 9906276351744.

The previous prime is 10132113303287. The next prime is 10132113303391. The reversal of 10132113303331 is 13330331123101.

It is a cyclic number.

It is not a de Polignac number, because 10132113303331 - 2⁷ = 10132113303203 is a prime.

It is a super-2 number, since 2×10132113303331² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10132113303296 and 10132113303305.

It is not an unprimeable number, because it can be changed into a prime (10132113303391) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 239922840 + ... + 239965066.

It is an arithmetic number, because the mean of its divisors is an integer number (647530824024).

Almost surely, 2^{10132113303331} is an apocalyptic number.

10132113303331 is a deficient number, since it is larger than the sum of its proper divisors (228379881053).

10132113303331 is an equidigital number, since it uses as much as digits as its factorization.

10132113303331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72210.

The product of its (nonzero) digits is 1458, while the sum is 25.

Adding to 10132113303331 its reverse (13330331123101), we get a palindrome (23462444426432).

The spelling of 10132113303331 in words is "ten trillion, one hundred thirty-two billion, one hundred thirteen million, three hundred three thousand, three hundred thirty-one".