1310413202100 has 288 divisors, whose sum is σ = 4442351088000. Its totient is φ = 330462581760.

The previous prime is 1310413202099. The next prime is 1310413202107. The reversal of 1310413202100 is 12023140131.

1310413202100 is a `hidden beast` number, since 13 + 10 + 413 + 20 + 210 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1310413202107) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 29167254 + ... + 29212146.

Almost surely, 2^{1310413202100} is an apocalyptic number.

1310413202100 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 1310413202100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2221175544000).

1310413202100 is an abundant number, since it is smaller than the sum of its proper divisors (3131937885900).

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

1310413202100 is a wasteful number, since it uses less digits than its factorization.

1310413202100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45504 (or 45491 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 1310413202100 its reverse (12023140131), we get a palindrome (1322436342231).

The spelling of 1310413202100 in words is "one trillion, three hundred ten billion, four hundred thirteen million, two hundred two thousand, one hundred".