135101021131400 has 48 divisors (see below), whose sum is σ = 316889607582900. Its totient is φ = 53562174740480.

The previous prime is 135101021131369. The next prime is 135101021131403. The reversal of 135101021131400 is 4131120101531.

It can be written as a sum of positive squares in 6 ways, for example, as 42252418034596 + 92848603096804 = 6500186^2 + 9635798^2 .

It is a super-3 number, since 3×135101021131400³ (a number of 43 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (135101021131403) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2988938045 + ... + 2988983244.

Almost surely, 2^{135101021131400} is an apocalyptic number.

135101021131400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

135101021131400 is an abundant number, since it is smaller than the sum of its proper divisors (181788586451500).

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

135101021131400 is a wasteful number, since it uses less digits than its factorization.

135101021131400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5977921418 (or 5977921409 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 23.

Adding to 135101021131400 its reverse (4131120101531), we get a palindrome (139232141232931).

The spelling of 135101021131400 in words is "one hundred thirty-five trillion, one hundred one billion, twenty-one million, one hundred thirty-one thousand, four hundred".