1310200100 has 216 divisors, whose sum is σ = 3394053600. Its totient is φ = 437184000.

The previous prime is 1310200097. The next prime is 1310200139. The reversal of 1310200100 is 10020131.

1310200100 = 401³ + 402³ + ... + 419³.

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, 9425831 + ... + 9425969.

Almost surely, 2^1310200100 is an apocalyptic number.

1310200100 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 1310200100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1697026800).

1310200100 is an abundant number, since it is smaller than the sum of its proper divisors (2083853500).

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

1310200100 is a wasteful number, since it uses less digits than its factorization.

1310200100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 235 (or 217 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 8.

The square root of 1310200100 is about 36196.6863124237. The cubic root of 1310200100 is about 1094.2398900424.

Adding to 1310200100 its reverse (10020131), we get a palindrome (1320220231).

The spelling of 1310200100 in words is "one billion, three hundred ten million, two hundred thousand, one hundred".