1000902813120 has 1792 divisors, whose sum is σ = 4323669442560. Its totient is φ = 213199257600.

The previous prime is 1000902813109. The next prime is 1000902813133. The reversal of 1000902813120 is 213182090001.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 9717502989 + ... + 9717503091.

Almost surely, 2^{1000902813120} is an apocalyptic number.

1000902813120 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 1000902813120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2161834721280).

1000902813120 is an abundant number, since it is smaller than the sum of its proper divisors (3322766629440).

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

1000902813120 is a wasteful number, since it uses less digits than its factorization.

1000902813120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 311 (or 295 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 27.

The spelling of 1000902813120 in words is "one trillion, nine hundred two million, eight hundred thirteen thousand, one hundred twenty".