1020015051300 has 1296 divisors, whose sum is σ = 4075239168000. Its totient is φ = 212027880960.

The previous prime is 1020015051259. The next prime is 1020015051331. The reversal of 1020015051300 is 31505100201.

1020015051300 is a `hidden beast` number, since 1 + 0 + 2 + 0 + 0 + 150 + 513 + 0 + 0 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 2323496481 + ... + 2323496919.

Almost surely, 2^{1020015051300} is an apocalyptic number.

1020015051300 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 1020015051300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2037619584000).

1020015051300 is an abundant number, since it is smaller than the sum of its proper divisors (3055224116700).

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

1020015051300 is a wasteful number, since it uses less digits than its factorization.

1020015051300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 598 (or 581 counting only the distinct ones).

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

The spelling of 1020015051300 in words is "one trillion, twenty billion, fifteen million, fifty-one thousand, three hundred".