313042111200 has 1296 divisors, whose sum is σ = 1400315061600. Its totient is φ = 64079216640.

The previous prime is 313042111199. The next prime is 313042111231. The reversal of 313042111200 is 2111240313.

313042111200 is a `hidden beast` number, since 3 + 1 + 30 + 421 + 11 + 200 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 896968626 + ... + 896968974.

Almost surely, 2^313042111200 is an apocalyptic number.

313042111200 is a gapful number since it is divisible by the number (30) 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 313042111200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (700157530800).

313042111200 is an abundant number, since it is smaller than the sum of its proper divisors (1087272950400).

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

313042111200 is a wasteful number, since it uses less digits than its factorization.

313042111200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 469 (or 416 counting only the distinct ones).

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

Adding to 313042111200 its reverse (2111240313), we get a palindrome (315153351513).

The spelling of 313042111200 in words is "three hundred thirteen billion, forty-two million, one hundred eleven thousand, two hundred".