10213430330880 has 800 divisors, whose sum is σ = 41881892887296. Its totient is φ = 2330326941696.

The previous prime is 10213430330783. The next prime is 10213430330903. The reversal of 10213430330880 is 8803303431201.

10213430330880 is a `hidden beast` number, since 1 + 0 + 2 + 1 + 343 + 0 + 3 + 308 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 852036247 + ... + 852048233.

Almost surely, 2^{10213430330880} is an apocalyptic number.

10213430330880 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 10213430330880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20940946443648).

10213430330880 is an abundant number, since it is smaller than the sum of its proper divisors (31668462556416).

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

10213430330880 is an equidigital number, since it uses as much as digits as its factorization.

10213430330880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12616 (or 12591 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The spelling of 10213430330880 in words is "ten trillion, two hundred thirteen billion, four hundred thirty million, three hundred thirty thousand, eight hundred eighty".