1002131332400 has 120 divisors (see below), whose sum is σ = 2652501197808. Its totient is φ = 360803200000.

The previous prime is 1002131332393. The next prime is 1002131332427. The reversal of 1002131332400 is 42331312001.

It is a super-3 number, since 3×1002131332400³ (a number of 37 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 683111 + ... + 1571910.

Almost surely, 2^{1002131332400} is an apocalyptic number.

1002131332400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1002131332400 is an abundant number, since it is smaller than the sum of its proper divisors (1650369865408).

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

1002131332400 is a wasteful number, since it uses less digits than its factorization.

1002131332400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2255151 (or 2255140 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 1002131332400 its reverse (42331312001), we get a palindrome (1044462644401).

The spelling of 1002131332400 in words is "one trillion, two billion, one hundred thirty-one million, three hundred thirty-two thousand, four hundred".