1002216813000 has 192 divisors, whose sum is σ = 3385952668800. Its totient is φ = 246699398400.

The previous prime is 1002216812939. The next prime is 1002216813001. The reversal of 1002216813000 is 3186122001.

1002216813000 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (1002216813001) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 481380 + ... + 1495379.

It is an arithmetic number, because the mean of its divisors is an integer number (17635170150).

Almost surely, 2^{1002216813000} is an apocalyptic number.

1002216813000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1002216813000 is an abundant number, since it is smaller than the sum of its proper divisors (2383735855800).

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

1002216813000 is a wasteful number, since it uses less digits than its factorization.

1002216813000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1976809 (or 1976782 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 24.

The spelling of 1002216813000 in words is "one trillion, two billion, two hundred sixteen million, eight hundred thirteen thousand".