1306261312031 has 32 divisors (see below), whose sum is σ = 1458749752320. Its totient is φ = 1162006217856.

The previous prime is 1306261312003. The next prime is 1306261312063. The reversal of 1306261312031 is 1302131626031.

It is a cyclic number.

It is not a de Polignac number, because 1306261312031 - 2⁶ = 1306261311967 is a prime.

It is a super-2 number, since 2×1306261312031² (a number of 25 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 = 1306261311985 and 1306261312003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1306261312331) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 119407760 + ... + 119418698.

It is an arithmetic number, because the mean of its divisors is an integer number (45585929760).

Almost surely, 2^{1306261312031} is an apocalyptic number.

1306261312031 is a deficient number, since it is larger than the sum of its proper divisors (152488440289).

1306261312031 is a wasteful number, since it uses less digits than its factorization.

1306261312031 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13983.

The product of its (nonzero) digits is 3888, while the sum is 29.

Adding to 1306261312031 its reverse (1302131626031), we get a palindrome (2608392938062).

The spelling of 1306261312031 in words is "one trillion, three hundred six billion, two hundred sixty-one million, three hundred twelve thousand, thirty-one".