3011013021300 has 144 divisors (see below), whose sum is σ = 9038088192000. Its totient is φ = 773130441600.

The previous prime is 3011013021299. The next prime is 3011013021343. The reversal of 3011013021300 is 31203101103.

It is a super-3 number, since 3×3011013021300³ (a number of 38 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 3011013021300.

It is a congruent number.

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, 1037221 + ... + 2664179.

Almost surely, 2^{3011013021300} is an apocalyptic number.

3011013021300 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 3011013021300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4519044096000).

3011013021300 is an abundant number, since it is smaller than the sum of its proper divisors (6027075170700).

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

3011013021300 is a wasteful number, since it uses less digits than its factorization.

3011013021300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1627206 (or 1627199 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 15.

Adding to 3011013021300 its reverse (31203101103), we get a palindrome (3042216122403).

The spelling of 3011013021300 in words is "three trillion, eleven billion, thirteen million, twenty-one thousand, three hundred".