1002131330400 has 288 divisors, whose sum is σ = 3701493089280. Its totient is φ = 261548904960.

The previous prime is 1002131330399. The next prime is 1002131330419. The reversal of 1002131330400 is 40331312001.

1002131330400 is a `hidden beast` number, since 10 + 0 + 213 + 13 + 30 + 400 = 666.

1002131330400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 521637 + ... + 1508763.

It is an arithmetic number, because the mean of its divisors is an integer number (12852406560).

Almost surely, 2^{1002131330400} is an apocalyptic number.

1002131330400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1002131330400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1850746544640).

1002131330400 is an abundant number, since it is smaller than the sum of its proper divisors (2699361758880).

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

1002131330400 is a wasteful number, since it uses less digits than its factorization.

1002131330400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 987203 (or 987184 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 1002131330400 its reverse (40331312001), we get a palindrome (1042462642401).

The spelling of 1002131330400 in words is "one trillion, two billion, one hundred thirty-one million, three hundred thirty thousand, four hundred".