1310415002100 has 108 divisors (see below), whose sum is σ = 4112077185216. Its totient is φ = 349048042560.

The previous prime is 1310415002093. The next prime is 1310415002137. The reversal of 1310415002100 is 12005140131.

1310415002100 is a `hidden beast` number, since 13 + 10 + 41 + 500 + 2 + 100 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 29772 + ... + 1619171.

It is an arithmetic number, because the mean of its divisors is an integer number (38074788752).

Almost surely, 2^{1310415002100} is an apocalyptic number.

1310415002100 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 1310415002100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2056038592608).

1310415002100 is an abundant number, since it is smaller than the sum of its proper divisors (2801662183116).

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

1310415002100 is a wasteful number, since it uses less digits than its factorization.

1310415002100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1649846 (or 1649836 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

The spelling of 1310415002100 in words is "one trillion, three hundred ten billion, four hundred fifteen million, two thousand, one hundred".