10131121320010 has 32 divisors (see below), whose sum is σ = 18730773032400. Its totient is φ = 3942525146112.

The previous prime is 10131121319993. The next prime is 10131121320017. The reversal of 10131121320010 is 1002312113101.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 2566272637681 + 7564848682329 = 1601959^2 + 2750427^2 .

It is a super-2 number, since 2×10131121320010² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10131121320017) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2305042 + ... + 5057218.

Almost surely, 2^{10131121320010} is an apocalyptic number.

10131121320010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10131121320010 is a deficient number, since it is larger than the sum of its proper divisors (8599651712390).

10131121320010 is a wasteful number, since it uses less digits than its factorization.

10131121320010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2762170.

The product of its (nonzero) digits is 36, while the sum is 16.

Adding to 10131121320010 its reverse (1002312113101), we get a palindrome (11133433433111).

The spelling of 10131121320010 in words is "ten trillion, one hundred thirty-one billion, one hundred twenty-one million, three hundred twenty thousand, ten".