10131411133321 has 8 divisors (see below), whose sum is σ = 10155051613224. Its totient is φ = 10107771770880.

The previous prime is 10131411133301. The next prime is 10131411133357. The reversal of 10131411133321 is 12333111413101.

10131411133321 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 2727766044025 + 7403645089296 = 1651595^2 + 2720964^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 10131411133321 - 2²⁹ = 10130874262409 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10131411133301) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 19506225 + ... + 20018881.

It is an arithmetic number, because the mean of its divisors is an integer number (1269381451653).

Almost surely, 2^{10131411133321} is an apocalyptic number.

It is an amenable number.

10131411133321 is a deficient number, since it is larger than the sum of its proper divisors (23640479903).

10131411133321 is an equidigital number, since it uses as much as digits as its factorization.

10131411133321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 558731.

The product of its (nonzero) digits is 648, while the sum is 25.

Adding to 10131411133321 its reverse (12333111413101), we get a palindrome (22464522546422).

The spelling of 10131411133321 in words is "ten trillion, one hundred thirty-one billion, four hundred eleven million, one hundred thirty-three thousand, three hundred twenty-one".