10131006464400 has 120 divisors (see below), whose sum is σ = 32453731265760. Its totient is φ = 2701540075520.

The previous prime is 10131006464399. The next prime is 10131006464419. The reversal of 10131006464400 is 446460013101.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 80828179 + ... + 80953421.

It is an arithmetic number, because the mean of its divisors is an integer number (270447760548).

Almost surely, 2^{10131006464400} is an apocalyptic number.

10131006464400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10131006464400 is an abundant number, since it is smaller than the sum of its proper divisors (22322724801360).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10131006464400 is a wasteful number, since it uses less digits than its factorization.

10131006464400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 192673 (or 192662 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

Adding to 10131006464400 its reverse (446460013101), we get a palindrome (10577466477501).

The spelling of 10131006464400 in words is "ten trillion, one hundred thirty-one billion, six million, four hundred sixty-four thousand, four hundred".