102003000313200 has 240 divisors, whose sum is σ = 373570033963776. Its totient is φ = 23306111539200.

The previous prime is 102003000313177. The next prime is 102003000313217. The reversal of 102003000313200 is 2313000300201.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×102003000313200² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 102003000313200.

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, 19811235 + ... + 24423165.

Almost surely, 2^{102003000313200} is an apocalyptic number.

102003000313200 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 102003000313200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186785016981888).

102003000313200 is an abundant number, since it is smaller than the sum of its proper divisors (271567033650576).

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

102003000313200 is a wasteful number, since it uses less digits than its factorization.

102003000313200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4614592 (or 4614581 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 15.

Adding to 102003000313200 its reverse (2313000300201), we get a palindrome (104316000613401).

The spelling of 102003000313200 in words is "one hundred two trillion, three billion, three hundred thirteen thousand, two hundred".