10131434313000 has 1024 divisors, whose sum is σ = 43589044961280. Its totient is φ = 1890749952000.

The previous prime is 10131434312971. The next prime is 10131434313131. The reversal of 10131434313000 is 31343413101.

It is a super-2 number, since 2×10131434313000² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 111065409 + ... + 111156591.

It is an arithmetic number, because the mean of its divisors is an integer number (42567426720).

Almost surely, 2^{10131434313000} is an apocalyptic number.

10131434313000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10131434313000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21794522480640).

10131434313000 is an abundant number, since it is smaller than the sum of its proper divisors (33457610648280).

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

10131434313000 is a wasteful number, since it uses less digits than its factorization.

10131434313000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91275 (or 91261 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

Adding to 10131434313000 its reverse (31343413101), we get a palindrome (10162777726101).

The spelling of 10131434313000 in words is "ten trillion, one hundred thirty-one billion, four hundred thirty-four million, three hundred thirteen thousand".