121311513000 has 160 divisors (see below), whose sum is σ = 424051416360. Its totient is φ = 32349715200.

The previous prime is 121311512983. The next prime is 121311513019. The reversal of 121311513000 is 315113121.

121311513000 is a `hidden beast` number, since 1 + 2 + 1 + 311 + 51 + 300 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 41071886244 + 80239626756 = 202662^2 + 283266^2 .

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 39 ways as a sum of consecutive naturals, for example, 667837 + ... + 829836.

Almost surely, 2^121311513000 is an apocalyptic number.

121311513000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

121311513000 is an abundant number, since it is smaller than the sum of its proper divisors (302739903360).

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

121311513000 is a wasteful number, since it uses less digits than its factorization.

121311513000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1497706 (or 1497683 counting only the distinct ones).

The product of its (nonzero) digits is 90, while the sum is 18.

Adding to 121311513000 its reverse (315113121), we get a palindrome (121626626121).

It can be divided in two parts, 12131 and 1513000, that added together give a triangular number (1525131 = T₁₇₄₆).

The spelling of 121311513000 in words is "one hundred twenty-one billion, three hundred eleven million, five hundred thirteen thousand".