31056305141100 has 144 divisors (see below), whose sum is σ = 92196585290880. Its totient is φ = 8066634355200.

The previous prime is 31056305141089. The next prime is 31056305141129. The reversal of 31056305141100 is 114150365013.

It is a super-2 number, since 2×31056305141100² (a number of 28 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5574199 + ... + 9653201.

It is an arithmetic number, because the mean of its divisors is an integer number (640254064520).

Almost surely, 2^{31056305141100} is an apocalyptic number.

31056305141100 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 31056305141100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46098292645440).

31056305141100 is an abundant number, since it is smaller than the sum of its proper divisors (61140280149780).

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

31056305141100 is a wasteful number, since it uses less digits than its factorization.

31056305141100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4079680 (or 4079673 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 30.

The spelling of 31056305141100 in words is "thirty-one trillion, fifty-six billion, three hundred five million, one hundred forty-one thousand, one hundred".