10131322432011 has 64 divisors (see below), whose sum is σ = 15377193861120. Its totient is φ = 5879565216000.

The previous prime is 10131322432001. The next prime is 10131322432031. The reversal of 10131322432011 is 11023422313101.

It is not a de Polignac number, because 10131322432011 - 2³⁰ = 10130248690187 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10131322432001) 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, 21185580 + ... + 21658518.

It is an arithmetic number, because the mean of its divisors is an integer number (240268654080).

Almost surely, 2^{10131322432011} is an apocalyptic number.

10131322432011 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

10131322432011 is a deficient number, since it is larger than the sum of its proper divisors (5245871429109).

10131322432011 is a wasteful number, since it uses less digits than its factorization.

10131322432011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 473288.

The product of its (nonzero) digits is 864, while the sum is 24.

Adding to 10131322432011 its reverse (11023422313101), we get a palindrome (21154744745112).

The spelling of 10131322432011 in words is "ten trillion, one hundred thirty-one billion, three hundred twenty-two million, four hundred thirty-two thousand, eleven".