10145131056300 has 144 divisors (see below), whose sum is σ = 29924281723392. Its totient is φ = 2652796972800.

The previous prime is 10145131056133. The next prime is 10145131056341. The reversal of 10145131056300 is 365013154101.

10145131056300 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 27594685 + ... + 27959915.

It is an arithmetic number, because the mean of its divisors is an integer number (207807511968).

Almost surely, 2^{10145131056300} is an apocalyptic number.

10145131056300 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 10145131056300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14962140861696).

10145131056300 is an abundant number, since it is smaller than the sum of its proper divisors (19779150667092).

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

10145131056300 is a wasteful number, since it uses less digits than its factorization.

10145131056300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 367048 (or 367041 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 30.

The spelling of 10145131056300 in words is "ten trillion, one hundred forty-five billion, one hundred thirty-one million, fifty-six thousand, three hundred".