1301034121431 has 48 divisors (see below), whose sum is σ = 1960147241472. Its totient is φ = 766464431040.

The previous prime is 1301034121403. The next prime is 1301034121469. The reversal of 1301034121431 is 1341214301031.

It is a happy number.

It is not a de Polignac number, because 1301034121431 - 2²³ = 1301025732823 is a prime.

It is a super-2 number, since 2×1301034121431² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1301034121031) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 14231590 + ... + 14322716.

It is an arithmetic number, because the mean of its divisors is an integer number (40836400864).

Almost surely, 2^{1301034121431} is an apocalyptic number.

1301034121431 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1301034121431 is a deficient number, since it is larger than the sum of its proper divisors (659113120041).

1301034121431 is a wasteful number, since it uses less digits than its factorization.

1301034121431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92252 (or 92241 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

Adding to 1301034121431 its reverse (1341214301031), we get a palindrome (2642248422462).

The spelling of 1301034121431 in words is "one trillion, three hundred one billion, thirty-four million, one hundred twenty-one thousand, four hundred thirty-one".