31305510060000 has 480 divisors, whose sum is σ = 113373517961088. Its totient is φ = 7497765120000.

The previous prime is 31305510059987. The next prime is 31305510060001. The reversal of 31305510060000 is 6001550313.

It is a tau number, because it is divible by the number of its divisors (480).

It is a super-2 number, since 2×31305510060000² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31305510060001) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 54494262 + ... + 55065738.

Almost surely, 2^{31305510060000} is an apocalyptic number.

31305510060000 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 31305510060000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56686758980544).

31305510060000 is an abundant number, since it is smaller than the sum of its proper divisors (82068007901088).

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

31305510060000 is a wasteful number, since it uses less digits than its factorization.

31305510060000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 571604 (or 571581 counting only the distinct ones).

The product of its (nonzero) digits is 1350, while the sum is 24.

The spelling of 31305510060000 in words is "thirty-one trillion, three hundred five billion, five hundred ten million, sixty thousand".