2013351515040 has 48 divisors (see below), whose sum is σ = 6342057273888. Its totient is φ = 536893737216.

The previous prime is 2013351515023. The next prime is 2013351515041. The reversal of 2013351515040 is 405151533102.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×2013351515040² (a number of 25 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 2013351514989 and 2013351515007.

It is not an unprimeable number, because it can be changed into a prime (2013351515041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2097240682 + ... + 2097241641.

It is an arithmetic number, because the mean of its divisors is an integer number (132126193206).

Almost surely, 2^{2013351515040} is an apocalyptic number.

2013351515040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2013351515040 is an abundant number, since it is smaller than the sum of its proper divisors (4328705758848).

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

2013351515040 is a wasteful number, since it uses less digits than its factorization.

2013351515040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4194482341 (or 4194482333 counting only the distinct ones).

The product of its (nonzero) digits is 9000, while the sum is 30.

The spelling of 2013351515040 in words is "two trillion, thirteen billion, three hundred fifty-one million, five hundred fifteen thousand, forty".