31101440100 has 72 divisors (see below), whose sum is σ = 94722999840. Its totient is φ = 7857204480.

The previous prime is 31101440099. The next prime is 31101440113. The reversal of 31101440100 is 104410113.

It is a super-5 number, since 5×31101440100⁵ (a number of 54 digits) contains 55555 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 31101440100.

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 23 ways as a sum of consecutive naturals, for example, 2722497 + ... + 2733896.

It is an arithmetic number, because the mean of its divisors is an integer number (1315597220).

Almost surely, 2^31101440100 is an apocalyptic number.

31101440100 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

31101440100 is an abundant number, since it is smaller than the sum of its proper divisors (63621559740).

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

31101440100 is a wasteful number, since it uses less digits than its factorization.

31101440100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5456429 (or 5456422 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 31101440100 its reverse (104410113), we get a palindrome (31205850213).

The spelling of 31101440100 in words is "thirty-one billion, one hundred one million, four hundred forty thousand, one hundred".