1313102121300 has 90 divisors (see below), whose sum is σ = 4256558347118. Its totient is φ = 350160563520.

The previous prime is 1313102121269. The next prime is 1313102121307. The reversal of 1313102121300 is 31212013131.

1313102121300 is a `hidden beast` number, since 1 + 31 + 310 + 2 + 1 + 21 + 300 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 24450325956 + 1288651795344 = 156366^2 + 1135188^2 .

It is a tau number, because it is divible by the number of its divisors (90).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1313102121307) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 81047587 + ... + 81063786.

Almost surely, 2^{1313102121300} is an apocalyptic number.

1313102121300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1313102121300 is an abundant number, since it is smaller than the sum of its proper divisors (2943456225818).

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

1313102121300 is a wasteful number, since it uses less digits than its factorization.

1313102121300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162111399 (or 162111383 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 1313102121300 its reverse (31212013131), we get a palindrome (1344314134431).

The spelling of 1313102121300 in words is "one trillion, three hundred thirteen billion, one hundred two million, one hundred twenty-one thousand, three hundred".