10311034100 has 72 divisors (see below), whose sum is σ = 23174792760. Its totient is φ = 3977326080.

The previous prime is 10311034033. The next prime is 10311034109. The reversal of 10311034100 is 143011301.

It can be written as a sum of positive squares in 12 ways, for example, as 286218724 + 10024815376 = 16918^2 + 100124^2 .

It is a super-2 number, since 2×10311034100² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10311034109) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3168074 + ... + 3171326.

Almost surely, 2^10311034100 is an apocalyptic number.

10311034100 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 10311034100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11587396380).

10311034100 is an abundant number, since it is smaller than the sum of its proper divisors (12863758660).

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

10311034100 is a wasteful number, since it uses less digits than its factorization.

10311034100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4389 (or 4382 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 14.

Adding to 10311034100 its reverse (143011301), we get a palindrome (10454045401).

The spelling of 10311034100 in words is "ten billion, three hundred eleven million, thirty-four thousand, one hundred".