10100200313 has 24 divisors (see below), whose sum is σ = 12011981184. Its totient is φ = 8464092000.

The previous prime is 10100200273. The next prime is 10100200321. The reversal of 10100200313 is 31300200101.

It is not a de Polignac number, because 10100200313 - 2⁸ = 10100200057 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10100200294 and 10100200303.

It is not an unprimeable number, because it can be changed into a prime (10100200343) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2994518 + ... + 2997888.

It is an arithmetic number, because the mean of its divisors is an integer number (500499216).

Almost surely, 2^10100200313 is an apocalyptic number.

It is an amenable number.

10100200313 is a deficient number, since it is larger than the sum of its proper divisors (1911780871).

10100200313 is a wasteful number, since it uses less digits than its factorization.

10100200313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4733 (or 4726 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 11.

Adding to 10100200313 its reverse (31300200101), we get a palindrome (41400400414).

The spelling of 10100200313 in words is "ten billion, one hundred million, two hundred thousand, three hundred thirteen".