13780013310 has 48 divisors (see below), whose sum is σ = 40946327136. Its totient is φ = 3149717184.

The previous prime is 13780013293. The next prime is 13780013327. The reversal of 13780013310 is 1331008731.

It is an interprime number because it is at equal distance from previous prime (13780013293) and next prime (13780013327).

It is a super-2 number, since 2×13780013310² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 10935889 + ... + 10937148.

It is an arithmetic number, because the mean of its divisors is an integer number (853048482).

Almost surely, 2^13780013310 is an apocalyptic number.

13780013310 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

13780013310 is an abundant number, since it is smaller than the sum of its proper divisors (27166313826).

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

13780013310 is a wasteful number, since it uses less digits than its factorization.

13780013310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21873057 (or 21873054 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The spelling of 13780013310 in words is "thirteen billion, seven hundred eighty million, thirteen thousand, three hundred ten".