10204011013000 has 128 divisors (see below), whose sum is σ = 27329736844800. Its totient is φ = 3493223712000.

The previous prime is 10204011012989. The next prime is 10204011013003. The reversal of 10204011013000 is 31011040201.

10204011013000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (10204011013003) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3524341 + ... + 5729659.

It is an arithmetic number, because the mean of its divisors is an integer number (213513569100).

Almost surely, 2^{10204011013000} is an apocalyptic number.

10204011013000 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 10204011013000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13664868422400).

10204011013000 is an abundant number, since it is smaller than the sum of its proper divisors (17125725831800).

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

10204011013000 is a wasteful number, since it uses less digits than its factorization.

10204011013000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2206008 (or 2205994 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 13.

Adding to 10204011013000 its reverse (31011040201), we get a palindrome (10235022053201).

The spelling of 10204011013000 in words is "ten trillion, two hundred four billion, eleven million, thirteen thousand".