10342322133000 has 256 divisors, whose sum is σ = 37909313245440. Its totient is φ = 2314365696000.

The previous prime is 10342322132983. The next prime is 10342322133061. The reversal of 10342322133000 is 33122324301.

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 (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 11624989 + ... + 12482988.

It is an arithmetic number, because the mean of its divisors is an integer number (148083254865).

Almost surely, 2^{10342322133000} is an apocalyptic number.

10342322133000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10342322133000 is an abundant number, since it is smaller than the sum of its proper divisors (27566991112440).

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

10342322133000 is a wasteful number, since it uses less digits than its factorization.

10342322133000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24108025 (or 24108011 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 24.

Adding to 10342322133000 its reverse (33122324301), we get a palindrome (10375444457301).

The spelling of 10342322133000 in words is "ten trillion, three hundred forty-two billion, three hundred twenty-two million, one hundred thirty-three thousand".