10131101414412 has 24 divisors (see below), whose sum is σ = 25788258146112. Its totient is φ = 3070030731600.

The previous prime is 10131101414363. The next prime is 10131101414419. The reversal of 10131101414412 is 21441410113101.

It is a happy number.

It is a super-2 number, since 2×10131101414412² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10131101414419) 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, 38375384014 + ... + 38375384277.

It is an arithmetic number, because the mean of its divisors is an integer number (1074510756088).

Almost surely, 2^{10131101414412} is an apocalyptic number.

10131101414412 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10131101414412 is an abundant number, since it is smaller than the sum of its proper divisors (15657156731700).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10131101414412 is a wasteful number, since it uses less digits than its factorization.

10131101414412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76750768309 (or 76750768307 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 24.

Adding to 10131101414412 its reverse (21441410113101), we get a palindrome (31572511527513).

The spelling of 10131101414412 in words is "ten trillion, one hundred thirty-one billion, one hundred one million, four hundred fourteen thousand, four hundred twelve".