1013312202100 has 72 divisors (see below), whose sum is σ = 2399002766496. Its totient is φ = 368443920000.

The previous prime is 1013312202053. The next prime is 1013312202103. The reversal of 1013312202100 is 12022133101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1013312202103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14453130 + ... + 14523070.

It is an arithmetic number, because the mean of its divisors is an integer number (33319482868).

Almost surely, 2^{1013312202100} is an apocalyptic number.

1013312202100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1013312202100 is an abundant number, since it is smaller than the sum of its proper divisors (1385690564396).

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

1013312202100 is a wasteful number, since it uses less digits than its factorization.

1013312202100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83137 (or 83130 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 1013312202100 its reverse (12022133101), we get a palindrome (1025334335201).

The spelling of 1013312202100 in words is "one trillion, thirteen billion, three hundred twelve million, two hundred two thousand, one hundred".