313020442560 has 224 divisors, whose sum is σ = 1142386693632. Its totient is φ = 71133696000.

The previous prime is 313020442543. The next prime is 313020442573. The reversal of 313020442560 is 65244020313.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1027935 + ... + 1297185.

Almost surely, 2^313020442560 is an apocalyptic number.

313020442560 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 313020442560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (571193346816).

313020442560 is an abundant number, since it is smaller than the sum of its proper divisors (829366251072).

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

313020442560 is a wasteful number, since it uses less digits than its factorization.

313020442560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 269451 (or 269441 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 30.

Adding to 313020442560 its reverse (65244020313), we get a palindrome (378264462873).

The spelling of 313020442560 in words is "three hundred thirteen billion, twenty million, four hundred forty-two thousand, five hundred sixty".