10500051213000 has 192 divisors, whose sum is σ = 35725211982720. Its totient is φ = 2781470160000.

The previous prime is 10500051212977. The next prime is 10500051213019. The reversal of 10500051213000 is 31215000501.

10500051213000 is a `hidden beast` number, since 10 + 500 + 0 + 5 + 121 + 30 + 0 + 0 = 666.

10500051213000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10500051213000² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

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, 2504154 + ... + 5222153.

It is an arithmetic number, because the mean of its divisors is an integer number (186068812410).

Almost surely, 2^{10500051213000} is an apocalyptic number.

10500051213000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10500051213000 is an abundant number, since it is smaller than the sum of its proper divisors (25225160769720).

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

10500051213000 is a wasteful number, since it uses less digits than its factorization.

10500051213000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7726485 (or 7726468 counting only the distinct ones).

The product of its (nonzero) digits is 150, while the sum is 18.

Adding to 10500051213000 its reverse (31215000501), we get a palindrome (10531266213501).

The spelling of 10500051213000 in words is "ten trillion, five hundred billion, fifty-one million, two hundred thirteen thousand".