131001034133000 has 32 divisors (see below), whose sum is σ = 306542419873560. Its totient is φ = 52400413652800.

The previous prime is 131001034132993. The next prime is 131001034133077. The reversal of 131001034133000 is 331430100131.

It can be written as a sum of positive squares in 4 ways, for example, as 19146592965124 + 111854441167876 = 4375682^2 + 10576126^2 .

It is a super-2 number, since 2×131001034133000² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 65500516067 + ... + 65500518066.

Almost surely, 2^{131001034133000} is an apocalyptic number.

131001034133000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131001034133000 is an abundant number, since it is smaller than the sum of its proper divisors (175541385740560).

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

131001034133000 is a wasteful number, since it uses less digits than its factorization.

131001034133000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131001034154 (or 131001034140 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 20.

Adding to 131001034133000 its reverse (331430100131), we get a palindrome (131332464233131).

The spelling of 131001034133000 in words is "one hundred thirty-one trillion, one billion, thirty-four million, one hundred thirty-three thousand".