1310010020100 has 216 divisors, whose sum is σ = 4212490883328. Its totient is φ = 340396358400.

The previous prime is 1310010020089. The next prime is 1310010020113. The reversal of 1310010020100 is 10200100131.

It is a super-2 number, since 2×1310010020100² (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 an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 5762797 + ... + 5985803.

It is an arithmetic number, because the mean of its divisors is an integer number (19502272608).

Almost surely, 2^{1310010020100} is an apocalyptic number.

1310010020100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1310010020100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2106245441664).

1310010020100 is an abundant number, since it is smaller than the sum of its proper divisors (2902480863228).

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

1310010020100 is a wasteful number, since it uses less digits than its factorization.

1310010020100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 223195 (or 223185 counting only the distinct ones).

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

Adding to 1310010020100 its reverse (10200100131), we get a palindrome (1320210120231).

The spelling of 1310010020100 in words is "one trillion, three hundred ten billion, ten million, twenty thousand, one hundred".