1313002101012 has 96 divisors (see below), whose sum is σ = 3512176496640. Its totient is φ = 373982952960.

The previous prime is 1313002101007. The next prime is 1313002101017. The reversal of 1313002101012 is 2101012003131.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1313002101007) and next prime (1313002101017).

It is a junction number, because it is equal to n+sod(n) for n = 1313002100982 and 1313002101000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1313002101017) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 163773228 + ... + 163781244.

It is an arithmetic number, because the mean of its divisors is an integer number (36585171840).

Almost surely, 2^{1313002101012} is an apocalyptic number.

1313002101012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1313002101012 is an abundant number, since it is smaller than the sum of its proper divisors (2199174395628).

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

1313002101012 is a wasteful number, since it uses less digits than its factorization.

1313002101012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13821 (or 13819 counting only the distinct ones).

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

Adding to 1313002101012 its reverse (2101012003131), we get a palindrome (3414014104143).

The spelling of 1313002101012 in words is "one trillion, three hundred thirteen billion, two million, one hundred one thousand, twelve".