121311131003010 has 192 divisors, whose sum is σ = 360342165062880. Its totient is φ = 28050714132480.

The previous prime is 121311131002979. The next prime is 121311131003131. The reversal of 121311131003010 is 10300131113121.

121311131003010 is a `hidden beast` number, since 1 + 2 + 1 + 311 + 1 + 310 + 0 + 30 + 10 = 666.

It can be written as a sum of positive squares in 16 ways, for example, as 1573546956921 + 119737584046089 = 1254411^2 + 10942467^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4509426 + ... + 16215954.

Almost surely, 2^{121311131003010} is an apocalyptic number.

121311131003010 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 121311131003010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180171082531440).

121311131003010 is an abundant number, since it is smaller than the sum of its proper divisors (239031034059870).

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

121311131003010 is a wasteful number, since it uses less digits than its factorization.

121311131003010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11707093 (or 11707090 counting only the distinct ones).

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

Adding to 121311131003010 its reverse (10300131113121), we get a palindrome (131611262116131).

The spelling of 121311131003010 in words is "one hundred twenty-one trillion, three hundred eleven billion, one hundred thirty-one million, three thousand, ten".