1313131012020 has 72 divisors (see below), whose sum is σ = 3983361048576. Its totient is φ = 350150953152.

The previous prime is 1313131011989. The next prime is 1313131012033. The reversal of 1313131012020 is 202101313131.

1313131012020 is a `hidden beast` number, since 1 + 313 + 1 + 310 + 1 + 20 + 20 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 1313131011984 and 1313131012002.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3700909 + ... + 4040171.

It is an arithmetic number, because the mean of its divisors is an integer number (55324459008).

Almost surely, 2^{1313131012020} is an apocalyptic number.

1313131012020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1313131012020 is an abundant number, since it is smaller than the sum of its proper divisors (2670230036556).

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

1313131012020 is a wasteful number, since it uses less digits than its factorization.

1313131012020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 360781 (or 360776 counting only the distinct ones).

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

Adding to 1313131012020 its reverse (202101313131), we get a palindrome (1515232325151).

The spelling of 1313131012020 in words is "one trillion, three hundred thirteen billion, one hundred thirty-one million, twelve thousand, twenty".