10118271131929 has 81 divisors (see below), whose sum is σ = 11607785930559. Its totient is φ = 8817518556000.

The previous prime is 10118271131911. The next prime is 10118271132019. The reversal of 10118271131929 is 92913117281101.

The square root of 10118271131929 is 3180923.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 5305775944329 + 4812495187600 = 2303427^2 + 2193740^2 .

It is not a de Polignac number, because 10118271131929 - 2²¹ = 10118269034777 is a prime.

It is a super-2 number, since 2×10118271131929² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10118271131909) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 40311837054 + ... + 40311837304.

Almost surely, 2^{10118271131929} is an apocalyptic number.

10118271131929 is a gapful number since it is divisible by the number (19) formed by its first and last digit.

10118271131929 is the 3180923-rd square number.

10118271131929 is the 1590462-nd centered octagonal number.

It is an amenable number.

10118271131929 is a deficient number, since it is larger than the sum of its proper divisors (1489514798630).

10118271131929 is an frugal number, since it uses more digits than its factorization.

10118271131929 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 644 (or 322 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 46.

The spelling of 10118271131929 in words is "ten trillion, one hundred eighteen billion, two hundred seventy-one million, one hundred thirty-one thousand, nine hundred twenty-nine".