1313213202000 has 320 divisors, whose sum is σ = 5376254707200. Its totient is φ = 300162931200.

The previous prime is 1313213201957. The next prime is 1313213202017. The reversal of 1313213202000 is 2023123131.

1313213202000 is a `hidden beast` number, since 1 + 3 + 1 + 321 + 320 + 20 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1359055 + ... + 2115054.

It is an arithmetic number, because the mean of its divisors is an integer number (16800795960).

Almost surely, 2^{1313213202000} is an apocalyptic number.

1313213202000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1313213202000 is an abundant number, since it is smaller than the sum of its proper divisors (4063041505200).

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

1313213202000 is a wasteful number, since it uses less digits than its factorization.

1313213202000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3474148 (or 3474126 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 1313213202000 its reverse (2023123131), we get a palindrome (1315236325131).

The spelling of 1313213202000 in words is "one trillion, three hundred thirteen billion, two hundred thirteen million, two hundred two thousand".