1020131400320 has 64 divisors (see below), whose sum is σ = 2463893548200. Its totient is φ = 403845808128.

The previous prime is 1020131400311. The next prime is 1020131400371. The reversal of 1020131400320 is 230041310201.

It can be written as a sum of positive squares in 4 ways, for example, as 997489577536 + 22641822784 = 998744^2 + 150472^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×1020131400320² (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 8154185 + ... + 8278344.

Almost surely, 2^{1020131400320} is an apocalyptic number.

1020131400320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1020131400320 is an abundant number, since it is smaller than the sum of its proper divisors (1443762147880).

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

1020131400320 is an equidigital number, since it uses as much as digits as its factorization.

1020131400320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16432645 (or 16432633 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

Adding to 1020131400320 its reverse (230041310201), we get a palindrome (1250172710521).

The spelling of 1020131400320 in words is "one trillion, twenty billion, one hundred thirty-one million, four hundred thousand, three hundred twenty".