10141013313200 has 240 divisors, whose sum is σ = 31974346487040. Its totient is φ = 2994475392000.

The previous prime is 10141013313169. The next prime is 10141013313293. The reversal of 10141013313200 is 231331014101.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8079371 + ... + 9249770.

It is an arithmetic number, because the mean of its divisors is an integer number (133226443696).

Almost surely, 2^{10141013313200} is an apocalyptic number.

10141013313200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10141013313200 is an abundant number, since it is smaller than the sum of its proper divisors (21833333173840).

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

10141013313200 is a wasteful number, since it uses less digits than its factorization.

10141013313200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17329196 (or 17329185 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 20.

Adding to 10141013313200 its reverse (231331014101), we get a palindrome (10372344327301).

The spelling of 10141013313200 in words is "ten trillion, one hundred forty-one billion, thirteen million, three hundred thirteen thousand, two hundred".