1020010001310 has 48 divisors (see below), whose sum is σ = 2652182226720. Its totient is φ = 271986644160.

The previous prime is 1020010001293. The next prime is 1020010001341. The reversal of 1020010001310 is 131000100201.

It is a super-2 number, since 2×1020010001310² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 1020010001292 and 1020010001301.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1243696 + ... + 1893884.

It is an arithmetic number, because the mean of its divisors is an integer number (55253796390).

Almost surely, 2^{1020010001310} is an apocalyptic number.

1020010001310 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1020010001310 is an abundant number, since it is smaller than the sum of its proper divisors (1632172225410).

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

1020010001310 is a wasteful number, since it uses less digits than its factorization.

1020010001310 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 667633 (or 667630 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 9.

Adding to 1020010001310 its reverse (131000100201), we get a palindrome (1151010101511).

The spelling of 1020010001310 in words is "one trillion, twenty billion, ten million, one thousand, three hundred ten".