1013108100972 has 192 divisors, whose sum is σ = 2649686860800. Its totient is φ = 298708992000.

The previous prime is 1013108100937. The next prime is 1013108101007. The reversal of 1013108100972 is 2790018013101.

It is an interprime number because it is at equal distance from previous prime (1013108100937) and next prime (1013108101007).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 216798028 + ... + 216802700.

It is an arithmetic number, because the mean of its divisors is an integer number (13800452400).

Almost surely, 2^{1013108100972} is an apocalyptic number.

1013108100972 is a gapful number since it is divisible by the number (12) 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 1013108100972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1324843430400).

1013108100972 is an abundant number, since it is smaller than the sum of its proper divisors (1636578759828).

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

1013108100972 is a wasteful number, since it uses less digits than its factorization.

1013108100972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5064 (or 5062 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 33.

The spelling of 1013108100972 in words is "one trillion, thirteen billion, one hundred eight million, one hundred thousand, nine hundred seventy-two".