99313200 has 270 divisors, whose sum is σ = 401624964. Its totient is φ = 22659840.

The previous prime is 99313189. The next prime is 99313211. The reversal of 99313200 is 231399.

It is an interprime number because it is at equal distance from previous prime (99313189) and next prime (99313211).

It is a super-2 number, since 2×99313200² = 19726223388480000, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 176119 + ... + 176681.

Almost surely, 2^99313200 is an apocalyptic number.

99313200 is a gapful number since it is divisible by the number (90) 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 99313200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200812482).

99313200 is an abundant number, since it is smaller than the sum of its proper divisors (302311764).

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

99313200 is a wasteful number, since it uses less digits than its factorization.

99313200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 601 (or 580 counting only the distinct ones).

The product of its (nonzero) digits is 1458, while the sum is 27.

The square root of 99313200 is about 9965.6008348719. The cubic root of 99313200 is about 463.0938269543.

Adding to 99313200 its reverse (231399), we get a palindrome (99544599).

It can be divided in two parts, 9931 and 3200, that added together give a palindrome (13131).

The spelling of 99313200 in words is "ninety-nine million, three hundred thirteen thousand, two hundred".