101313201102000 has 80 divisors (see below), whose sum is σ = 326633760372192. Its totient is φ = 27016853625600.

The previous prime is 101313201101999. The next prime is 101313201102077. The reversal of 101313201102000 is 201102313101.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8442760759 + ... + 8442772758.

Almost surely, 2^{101313201102000} is an apocalyptic number.

101313201102000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101313201102000 is an abundant number, since it is smaller than the sum of its proper divisors (225320559270192).

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

101313201102000 is a wasteful number, since it uses less digits than its factorization.

101313201102000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16885533543 (or 16885533527 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 101313201102000 its reverse (201102313101), we get a palindrome (101514303415101).

The spelling of 101313201102000 in words is "one hundred one trillion, three hundred thirteen billion, two hundred one million, one hundred two thousand".