3138007513301 has 8 divisors (see below), whose sum is σ = 3412396088280. Its totient is φ = 2873596704768.

The previous prime is 3138007513253. The next prime is 3138007513307. The reversal of 3138007513301 is 1033157008313.

It can be written as a sum of positive squares in 4 ways, for example, as 2265548770276 + 872458743025 = 1505174^2 + 934055^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 3138007513301 - 2³⁴ = 3120827644117 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3138007513307) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2494440956 + ... + 2494442213.

It is an arithmetic number, because the mean of its divisors is an integer number (426549511035).

Almost surely, 2^{3138007513301} is an apocalyptic number.

It is an amenable number.

3138007513301 is a deficient number, since it is larger than the sum of its proper divisors (274388574979).

3138007513301 is a wasteful number, since it uses less digits than its factorization.

3138007513301 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4988883223.

The product of its (nonzero) digits is 22680, while the sum is 35.

The spelling of 3138007513301 in words is "three trillion, one hundred thirty-eight billion, seven million, five hundred thirteen thousand, three hundred one".