1300000031 has 16 divisors (see below), whose sum is σ = 1437689088. Its totient is φ = 1165660800.

The previous prime is 1300000021. The next prime is 1300000049.

1300000031 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 1300000031 - 2²² = 1295805727 is a prime.

It is a super-2 number, since 2×1300000031² = 3380000161200001922, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1299999964 and 1300000018.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1300000021) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 281366 + ... + 285948.

It is an arithmetic number, because the mean of its divisors is an integer number (89855568).

Almost surely, 2^1300000031 is an apocalyptic number.

1300000031 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1300000031 is a deficient number, since it is larger than the sum of its proper divisors (137689057).

1300000031 is a wasteful number, since it uses less digits than its factorization.

1300000031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4942.

The product of its (nonzero) digits is 9, while the sum is 8.

The square root of 1300000031 is about 36055.5131845325. The cubic root of 1300000031 is about 1091.3928917363.

It can be divided in two parts, 13000000 and 31, that added together give a palindrome (13000031).

The spelling of 1300000031 in words is "one billion, three hundred million, thirty-one", and thus it is an aban number.