10144130404311 has 40 divisors (see below), whose sum is σ = 15563674046624. Its totient is φ = 6579748013760.

The previous prime is 10144130404223. The next prime is 10144130404339. The reversal of 10144130404311 is 11340403144101.

10144130404311 is a `hidden beast` number, since 1 + 0 + 1 + 4 + 41 + 304 + 0 + 4 + 311 = 666.

It is not a de Polignac number, because 10144130404311 - 2²⁹ = 10143593533399 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10144130404511) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 151323981 + ... + 151391001.

Almost surely, 2^{10144130404311} is an apocalyptic number.

10144130404311 is a deficient number, since it is larger than the sum of its proper divisors (5419543642313).

10144130404311 is an equidigital number, since it uses as much as digits as its factorization.

10144130404311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117573 (or 117564 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

Adding to 10144130404311 its reverse (11340403144101), we get a palindrome (21484533548412).

The spelling of 10144130404311 in words is "ten trillion, one hundred forty-four billion, one hundred thirty million, four hundred four thousand, three hundred eleven".