1101310319956 has 96 divisors (see below), whose sum is σ = 2462167943424. Its totient is φ = 418497024000.

The previous prime is 1101310319939. The next prime is 1101310319957. The reversal of 1101310319956 is 6599130131011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1101310319957) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 53241936 + ... + 53262616.

It is an arithmetic number, because the mean of its divisors is an integer number (25647582744).

Almost surely, 2^{1101310319956} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1101310319956, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1231083971712).

1101310319956 is an abundant number, since it is smaller than the sum of its proper divisors (1360857623468).

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

1101310319956 is a wasteful number, since it uses less digits than its factorization.

1101310319956 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24961 (or 24959 counting only the distinct ones).

The product of its (nonzero) digits is 21870, while the sum is 40.

The spelling of 1101310319956 in words is "one trillion, one hundred one billion, three hundred ten million, three hundred nineteen thousand, nine hundred fifty-six".