10313100 has 108 divisors (see below), whose sum is σ = 36966384. Its totient is φ = 2355840.

The previous prime is 10313063. The next prime is 10313117. The reversal of 10313100 is 131301.

It is a super-2 number, since 2×10313100² = 212720063220000, which 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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 5482 + ... + 7118.

Almost surely, 2^10313100 is an apocalyptic number.

10313100 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 10313100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18483192).

10313100 is an abundant number, since it is smaller than the sum of its proper divisors (26653284).

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

10313100 is a wasteful number, since it uses less digits than its factorization.

10313100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1664 (or 1654 counting only the distinct ones).

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

The square root of 10313100 is about 3211.4015631808. The cubic root of 10313100 is about 217.6689135733.

Adding to 10313100 its reverse (131301), we get a palindrome (10444401).

It can be divided in two parts, 103 and 13100, that added together give a triangular number (13203 = T₁₆₂).

The spelling of 10313100 in words is "ten million, three hundred thirteen thousand, one hundred".