31012301100 has 288 divisors, whose sum is σ = 100931040000. Its totient is φ = 7285939200.

The previous prime is 31012301081. The next prime is 31012301147. The reversal of 31012301100 is 110321013.

It is a super-2 number, since 2×31012301100² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

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 95 ways as a sum of consecutive naturals, for example, 60927646 + ... + 60928154.

It is an arithmetic number, because the mean of its divisors is an integer number (350455000).

Almost surely, 2^31012301100 is an apocalyptic number.

31012301100 is a gapful number since it is divisible by the number (30) 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 31012301100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50465520000).

31012301100 is an abundant number, since it is smaller than the sum of its proper divisors (69918738900).

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

31012301100 is a wasteful number, since it uses less digits than its factorization.

31012301100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1073 (or 1066 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 12.

Adding to 31012301100 its reverse (110321013), we get a palindrome (31122622113).

The spelling of 31012301100 in words is "thirty-one billion, twelve million, three hundred one thousand, one hundred".