10434013031000 has 128 divisors (see below), whose sum is σ = 26371746797760. Its totient is φ = 3841125120000.

The previous prime is 10434013030981. The next prime is 10434013031003. The reversal of 10434013031000 is 13031043401.

It is a super-2 number, since 2×10434013031000² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10434013031003) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3190175 + ... + 5571825.

Almost surely, 2^{10434013031000} is an apocalyptic number.

10434013031000 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 10434013031000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13185873398880).

10434013031000 is an abundant number, since it is smaller than the sum of its proper divisors (15937733766760).

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

10434013031000 is a wasteful number, since it uses less digits than its factorization.

10434013031000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2382022 (or 2382008 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 10434013031000 its reverse (13031043401), we get a palindrome (10447044074401).

The spelling of 10434013031000 in words is "ten trillion, four hundred thirty-four billion, thirteen million, thirty-one thousand".