10001031121311 has 16 divisors (see below), whose sum is σ = 14044519943424. Its totient is φ = 6317866601024.

The previous prime is 10001031121303. The next prime is 10001031121327. The reversal of 10001031121311 is 11312113010001.

It is a cyclic number.

It is not a de Polignac number, because 10001031121311 - 2³ = 10001031121303 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10001031121391) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 677293926 + ... + 677308691.

It is an arithmetic number, because the mean of its divisors is an integer number (877782496464).

Almost surely, 2^{10001031121311} is an apocalyptic number.

10001031121311 is a deficient number, since it is larger than the sum of its proper divisors (4043488822113).

10001031121311 is a wasteful number, since it uses less digits than its factorization.

10001031121311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1354602750.

The product of its (nonzero) digits is 18, while the sum is 15.

Adding to 10001031121311 its reverse (11312113010001), we get a palindrome (21313144131312).

The spelling of 10001031121311 in words is "ten trillion, one billion, thirty-one million, one hundred twenty-one thousand, three hundred eleven".