121133001101310 has 288 divisors, whose sum is σ = 357951551866272. Its totient is φ = 28180492738560.

The previous prime is 121133001101261. The next prime is 121133001101327. The reversal of 121133001101310 is 13101100331121.

121133001101310 is a `hidden beast` number, since 1 + 2 + 11 + 330 + 0 + 1 + 10 + 1 + 310 = 666.

It is a super-2 number, since 2×121133001101310² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 98325462 + ... + 99549798.

It is an arithmetic number, because the mean of its divisors is an integer number (1242887332869).

Almost surely, 2^{121133001101310} is an apocalyptic number.

121133001101310 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 121133001101310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178975775933136).

121133001101310 is an abundant number, since it is smaller than the sum of its proper divisors (236818550764962).

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

121133001101310 is a wasteful number, since it uses less digits than its factorization.

121133001101310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1224508 (or 1224468 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 18.

Adding to 121133001101310 its reverse (13101100331121), we get a palindrome (134234101432431).

The spelling of 121133001101310 in words is "one hundred twenty-one trillion, one hundred thirty-three billion, one million, one hundred one thousand, three hundred ten".