1313100202200 has 384 divisors, whose sum is σ = 4204170915840. Its totient is φ = 338826240000.

The previous prime is 1313100202163. The next prime is 1313100202231. The reversal of 1313100202200 is 22020013131.

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 1313100202200.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2873304372 + ... + 2873304828.

It is an arithmetic number, because the mean of its divisors is an integer number (10948361760).

Almost surely, 2^{1313100202200} is an apocalyptic number.

1313100202200 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 1313100202200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2102085457920).

1313100202200 is an abundant number, since it is smaller than the sum of its proper divisors (2891070713640).

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

1313100202200 is a wasteful number, since it uses less digits than its factorization.

1313100202200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1219 (or 1210 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 1313100202200 its reverse (22020013131), we get a palindrome (1335120215331).

The spelling of 1313100202200 in words is "one trillion, three hundred thirteen billion, one hundred million, two hundred two thousand, two hundred".