10131461101 has 8 divisors (see below), whose sum is σ = 10412937080. Its totient is φ = 9857588544.

The previous prime is 10131461099. The next prime is 10131461111. The reversal of 10131461101 is 10116413101.

10131461101 is digitally balanced in base 3, 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 1868832900 + 8262628201 = 43230^2 + 90899^2 .

It is not a de Polignac number, because 10131461101 - 2¹ = 10131461099 is a prime.

It is a super-2 number, since 2×10131461101² (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10131461111) 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, 49356 + ... + 150661.

It is an arithmetic number, because the mean of its divisors is an integer number (1301617135).

Almost surely, 2^10131461101 is an apocalyptic number.

It is an amenable number.

10131461101 is a deficient number, since it is larger than the sum of its proper divisors (281475979).

10131461101 is an frugal number, since it uses more digits than its factorization.

10131461101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 200128 (or 200054 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 19.

Adding to 10131461101 its reverse (10116413101), we get a palindrome (20247874202).

The spelling of 10131461101 in words is "ten billion, one hundred thirty-one million, four hundred sixty-one thousand, one hundred one".