1010373520000 has 160 divisors (see below), whose sum is σ = 2708746189380. Its totient is φ = 373060608000.

The previous prime is 1010373519943. The next prime is 1010373520073. The reversal of 1010373520000 is 253730101.

It can be written as a sum of positive squares in 10 ways, for example, as 303442332736 + 706931187264 = 550856^2 + 840792^2 .

It is a tau number, because it is divible by the number of its divisors (160).

It is a super-3 number, since 3×1010373520000³ (a number of 37 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 554244 + ... + 1525756.

Almost surely, 2^{1010373520000} is an apocalyptic number.

1010373520000 is a gapful number since it is divisible by the number (10) 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 1010373520000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1354373094690).

1010373520000 is an abundant number, since it is smaller than the sum of its proper divisors (1698372669380).

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

1010373520000 is an frugal number, since it uses more digits than its factorization.

1010373520000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 971560 (or 971533 counting only the distinct ones).

The product of its (nonzero) digits is 630, while the sum is 22.

The spelling of 1010373520000 in words is "one trillion, ten billion, three hundred seventy-three million, five hundred twenty thousand".