13010001031 has 8 divisors (see below), whose sum is σ = 13149633024. Its totient is φ = 12870950400.

The previous prime is 13010001023. The next prime is 13010001049.

13010001031 is nontrivially palindromic in base 10.

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 13010001031 - 2³ = 13010001023 is a prime.

It is a super-2 number, since 2×13010001031² (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 13010000999 and 13010001017.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13010001071) 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, 100270 + ... + 189931.

It is an arithmetic number, because the mean of its divisors is an integer number (1643704128).

Almost surely, 2^13010001031 is an apocalyptic number.

13010001031 is a deficient number, since it is larger than the sum of its proper divisors (139631993).

13010001031 is a wasteful number, since it uses less digits than its factorization.

13010001031 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 290681.

The product of its (nonzero) digits is 9, while the sum is 10.

It can be divided in two parts, 1301000 and 1031, that added together give a palindrome (1302031).

The spelling of 13010001031 in words is "thirteen billion, ten million, one thousand, thirty-one".