31100121000 has 192 divisors, whose sum is σ = 113204866320. Its totient is φ = 7655385600.

The previous prime is 31100120993. The next prime is 31100121029. The reversal of 31100121000 is 12100113.

It can be written as a sum of positive squares in 8 ways, for example, as 6441444 + 31093679556 = 2538^2 + 176334^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 15907 + ... + 249906.

Almost surely, 2^31100121000 is an apocalyptic number.

31100121000 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 31100121000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56602433160).

31100121000 is an abundant number, since it is smaller than the sum of its proper divisors (82104745320).

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

31100121000 is a wasteful number, since it uses less digits than its factorization.

31100121000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 265853 (or 265836 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 9.

Adding to 31100121000 its reverse (12100113), we get a palindrome (31112221113).

It can be divided in two parts, 31100 and 121000, that added together give a square (152100 = 390²).

The spelling of 31100121000 in words is "thirty-one billion, one hundred million, one hundred twenty-one thousand".