1313122000100 has 36 divisors (see below), whose sum is σ = 2849547593844. Its totient is φ = 525235370880.

The previous prime is 1313122000097. The next prime is 1313122000103. The reversal of 1313122000100 is 10002213131.

It is an interprime number because it is at equal distance from previous prime (1313122000097) and next prime (1313122000103).

It can be written as a sum of positive squares in 6 ways, for example, as 258421755904 + 1054700244196 = 508352^2 + 1026986^2 .

It is not an unprimeable number, because it can be changed into a prime (1313122000103) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4374434 + ... + 4664966.

It is an arithmetic number, because the mean of its divisors is an integer number (79154099829).

Almost surely, 2^{1313122000100} is an apocalyptic number.

1313122000100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1313122000100 is an abundant number, since it is smaller than the sum of its proper divisors (1536425593744).

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

1313122000100 is a wasteful number, since it uses less digits than its factorization.

1313122000100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 335744 (or 335737 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 14.

Adding to 1313122000100 its reverse (10002213131), we get a palindrome (1323124213231).

The spelling of 1313122000100 in words is "one trillion, three hundred thirteen billion, one hundred twenty-two million, one hundred", and thus it is an aban number.