13020139314 has 256 divisors, whose sum is σ = 37103861760. Its totient is φ = 3292047360.

The previous prime is 13020139303. The next prime is 13020139331. The reversal of 13020139314 is 41393102031.

It is a super-3 number, since 3×13020139314³ (a number of 31 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 19346082 + ... + 19346754.

It is an arithmetic number, because the mean of its divisors is an integer number (144936960).

Almost surely, 2^13020139314 is an apocalyptic number.

13020139314 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 13020139314, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18551930880).

13020139314 is an abundant number, since it is smaller than the sum of its proper divisors (24083722446).

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

13020139314 is a wasteful number, since it uses less digits than its factorization.

13020139314 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 862 (or 856 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

The spelling of 13020139314 in words is "thirteen billion, twenty million, one hundred thirty-nine thousand, three hundred fourteen".