1301001031 has 16 divisors (see below), whose sum is σ = 1457584128. Its totient is φ = 1151085600.

The previous prime is 1301001029. The next prime is 1301001047.

1301001031 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 1301001031 - 2¹ = 1301001029 is a prime.

It is a super-2 number, since 2×1301001031² = 3385207365326125922, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1301000999 and 1301001017.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1301001011) 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 15 ways as a sum of consecutive naturals, for example, 86626 + ... + 100528.

It is an arithmetic number, because the mean of its divisors is an integer number (91099008).

Almost surely, 2^1301001031 is an apocalyptic number.

1301001031 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1301001031 is a deficient number, since it is larger than the sum of its proper divisors (156583097).

1301001031 is a wasteful number, since it uses less digits than its factorization.

1301001031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14142.

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

The square root of 1301001031 is about 36069.3918856418. The cubic root of 1301001031 is about 1091.6729440374.

It can be divided in two parts, 130100 and 1031, that added together give a palindrome (131131).

The spelling of 1301001031 in words is "one billion, three hundred one million, one thousand, thirty-one".