131121322223010 has 192 divisors, whose sum is σ = 378508938854400. Its totient is φ = 28955368391040.

The previous prime is 131121322222991. The next prime is 131121322223011. The reversal of 131121322223010 is 10322223121131.

131121322223010 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×131121322223010² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (131121322223011) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 24894627 + ... + 29698233.

It is an arithmetic number, because the mean of its divisors is an integer number (1971400723200).

Almost surely, 2^{131121322223010} is an apocalyptic number.

131121322223010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 131121322223010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189254469427200).

131121322223010 is an abundant number, since it is smaller than the sum of its proper divisors (247387616631390).

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

131121322223010 is a wasteful number, since it uses less digits than its factorization.

131121322223010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4804261 (or 4804254 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

Adding to 131121322223010 its reverse (10322223121131), we get a palindrome (141443545344141).

The spelling of 131121322223010 in words is "one hundred thirty-one trillion, one hundred twenty-one billion, three hundred twenty-two million, two hundred twenty-three thousand, ten".