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10000000000000 = 213513

10000000000000 has 196 divisors, whose sum is σ = 24998474116998. Its totient is φ = 4000000000000.

The previous prime is 9999999999971. The next prime is 10000000000037. The reversal of 10000000000000 is 1.

It is a happy number.

It is a perfect power (a 13-th power), and thus also a powerful number.

It can be written as a sum of positive squares in 7 ways, for example, as 2552428007424 + 7447571992576 = 1597632^2 + 2729024^2 .

It is a Harshad number since it is a multiple of its sum of digits (1).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a nialpdrome in base 10.

It is an unprimeable number.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 1999999999998 + ... + 2000000000002.

Almost surely, 210000000000000 is an apocalyptic number.

10000000000000 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 10000000000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12499237058499).

10000000000000 is an abundant number, since it is smaller than the sum of its proper divisors (14998474116998).

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

10000000000000 is an frugal number, since it uses more digits than its factorization.

10000000000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91 (or 7 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 1.

The spelling of 10000000000000 in words is "ten trillion", and thus it is an aban number and an uban number.