3020513130000 has 600 divisors, whose sum is σ = 10875727821816. Its totient is φ = 781747200000.

The previous prime is 3020513129999. The next prime is 3020513130013. The reversal of 3020513130000 is 313150203.

3020513130000 is a `hidden beast` number, since 3 + 0 + 20 + 513 + 130 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 20 ways, for example, as 2953558462464 + 66954667536 = 1718592^2 + 258756^2 .

It is a tau number, because it is divible by the number of its divisors (600).

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 119 ways as a sum of consecutive naturals, for example, 1734929130 + ... + 1734930870.

Almost surely, 2^{3020513130000} is an apocalyptic number.

3020513130000 is a gapful number since it is divisible by the number (30) 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 3020513130000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5437863910908).

3020513130000 is an abundant number, since it is smaller than the sum of its proper divisors (7855214691816).

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

3020513130000 is a wasteful number, since it uses less digits than its factorization.

3020513130000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2333 (or 2309 counting only the distinct ones).

The product of its (nonzero) digits is 270, while the sum is 18.

Adding to 3020513130000 its reverse (313150203), we get a palindrome (3020826280203).

It can be divided in two parts, 3020513 and 130000, that added together give a palindrome (3150513).

The spelling of 3020513130000 in words is "three trillion, twenty billion, five hundred thirteen million, one hundred thirty thousand".